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Rigidity theorem for harmonic maps with complex normal boundary conditions
Li, Song-Ying1; Luo, Jie2,3
2019-12-01
Source PublicationINTERNATIONAL JOURNAL OF MATHEMATICS
ISSN0129-167X
Volume30Issue:13Pages:18
AbstractLet B-n be the open unit ball in C-n and let (M-m, g) be a Kahler manifold with strongly negative or strongly semi-negative curvature. In this paper, we study Siu type rigidity theorem for the harmonic map u is an element of C-2 ((B-n) over bar , A4) satisfying the boundary condition that Sigma(n)(i,j=1) z(i)(z) over bar (j)u(i)(j) over bar = 0 on partial derivative B-n We also prove the existence and uniqueness theorem for some Neumann type boundary value problem for harmonic functions on B-n.
KeywordHarmonic maps Pluriharmonic maps Rigidity theorem Neumann problem
DOI10.1142/S0129167X19400019
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000503464900002
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50511
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLi, Song-Ying
Affiliation1.Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
2.Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Li, Song-Ying,Luo, Jie. Rigidity theorem for harmonic maps with complex normal boundary conditions[J]. INTERNATIONAL JOURNAL OF MATHEMATICS,2019,30(13):18.
APA Li, Song-Ying,&Luo, Jie.(2019).Rigidity theorem for harmonic maps with complex normal boundary conditions.INTERNATIONAL JOURNAL OF MATHEMATICS,30(13),18.
MLA Li, Song-Ying,et al."Rigidity theorem for harmonic maps with complex normal boundary conditions".INTERNATIONAL JOURNAL OF MATHEMATICS 30.13(2019):18.
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